Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 55, 47, 15, 61 ]
43
[ "61-55=6", "15*6=90", "90-47=43" ]
Current State: 43:[55, 47, 15, 61], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [47, 15, 6] Generated Node #2: [47, 15, 6] from Operation: 61-55=6 Current State: 43:[47, 15, 6], Operations: ['61-55=6'] Exploring Operation: 15*6=90, Resulting Numbers: [47, 90] Generated Node #3: [47, 90] from Operation: 15*6=90 Current State: 43:[47, 90], Operations: ['61-55=6', '15*6=90'] Exploring Operation: 90-47=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 9, 2, 28, 71 ]
92
[ "9-2=7", "28+71=99", "99-7=92" ]
Current State: 92:[9, 2, 28, 71], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [28, 71, 7] Generated Node #2: [28, 71, 7] from Operation: 9-2=7 Current State: 92:[28, 71, 7], Operations: ['9-2=7'] Exploring Operation: 28+71=99, Resulting Numbers: [7, 99] Generated Node #3: [7, 99] from Operation: 28+71=99 Current State: 92:[7, 99], Operations: ['9-2=7', '28+71=99'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 59, 42, 93 ]
70
[ "93/3=31", "59+42=101", "101-31=70" ]
Current State: 70:[3, 59, 42, 93], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [59, 42, 31] Generated Node #2: [59, 42, 31] from Operation: 93/3=31 Current State: 70:[59, 42, 31], Operations: ['93/3=31'] Exploring Operation: 59+42=101, Resulting Numbers: [31, 101] Generated Node #3: [31, 101] from Operation: 59+42=101 Current State: 70:[31, 101], Operations: ['93/3=31', '59+42=101'] Exploring Operation: 101-31=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 30, 36, 58 ]
29
[ "33*58=1914", "30+36=66", "1914/66=29" ]
Current State: 29:[33, 30, 36, 58], Operations: [] Exploring Operation: 33*58=1914, Resulting Numbers: [30, 36, 1914] Generated Node #2: [30, 36, 1914] from Operation: 33*58=1914 Current State: 29:[30, 36, 1914], Operations: ['33*58=1914'] Exploring Operation: 30+36=66, Resulting Numbers: [1914, 66] Generated Node #3: [1914, 66] from Operation: 30+36=66 Current State: 29:[1914, 66], Operations: ['33*58=1914', '30+36=66'] Exploring Operation: 1914/66=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 87, 44, 13 ]
61
[ "46-44=2", "13*2=26", "87-26=61" ]
Current State: 61:[46, 87, 44, 13], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [87, 13, 2] Generated Node #2: [87, 13, 2] from Operation: 46-44=2 Current State: 61:[87, 13, 2], Operations: ['46-44=2'] Exploring Operation: 13*2=26, Resulting Numbers: [87, 26] Generated Node #3: [87, 26] from Operation: 13*2=26 Current State: 61:[87, 26], Operations: ['46-44=2', '13*2=26'] Exploring Operation: 87-26=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 54, 90, 31 ]
58
[ "45*54=2430", "2430/90=27", "31+27=58" ]
Current State: 58:[45, 54, 90, 31], Operations: [] Exploring Operation: 45*54=2430, Resulting Numbers: [90, 31, 2430] Generated Node #2: [90, 31, 2430] from Operation: 45*54=2430 Current State: 58:[90, 31, 2430], Operations: ['45*54=2430'] Exploring Operation: 2430/90=27, Resulting Numbers: [31, 27] Generated Node #3: [31, 27] from Operation: 2430/90=27 Current State: 58:[31, 27], Operations: ['45*54=2430', '2430/90=27'] Exploring Operation: 31+27=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 80, 30, 35 ]
100
[ "35-11=24", "80*30=2400", "2400/24=100" ]
Current State: 100:[11, 80, 30, 35], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [80, 30, 24] Generated Node #2: [80, 30, 24] from Operation: 35-11=24 Current State: 100:[80, 30, 24], Operations: ['35-11=24'] Exploring Operation: 80*30=2400, Resulting Numbers: [24, 2400] Generated Node #3: [24, 2400] from Operation: 80*30=2400 Current State: 100:[24, 2400], Operations: ['35-11=24', '80*30=2400'] Exploring Operation: 2400/24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 32, 8, 75, 99 ]
28
[ "32/8=4", "99-75=24", "4+24=28" ]
Current State: 28:[32, 8, 75, 99], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [75, 99, 4] Generated Node #2: [75, 99, 4] from Operation: 32/8=4 Current State: 28:[75, 99, 4], Operations: ['32/8=4'] Exploring Operation: 99-75=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 99-75=24 Current State: 28:[4, 24], Operations: ['32/8=4', '99-75=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 18, 77, 94 ]
33
[ "48*77=3696", "18+94=112", "3696/112=33" ]
Current State: 33:[48, 18, 77, 94], Operations: [] Exploring Operation: 48*77=3696, Resulting Numbers: [18, 94, 3696] Generated Node #2: [18, 94, 3696] from Operation: 48*77=3696 Current State: 33:[18, 94, 3696], Operations: ['48*77=3696'] Exploring Operation: 18+94=112, Resulting Numbers: [3696, 112] Generated Node #3: [3696, 112] from Operation: 18+94=112 Current State: 33:[3696, 112], Operations: ['48*77=3696', '18+94=112'] Exploring Operation: 3696/112=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 14, 39, 54 ]
17
[ "14/7=2", "54-39=15", "2+15=17" ]
Current State: 17:[7, 14, 39, 54], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [39, 54, 2] Generated Node #2: [39, 54, 2] from Operation: 14/7=2 Current State: 17:[39, 54, 2], Operations: ['14/7=2'] Exploring Operation: 54-39=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 54-39=15 Current State: 17:[2, 15], Operations: ['14/7=2', '54-39=15'] Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 29, 31, 7 ]
35
[ "31-29=2", "21*2=42", "42-7=35" ]
Current State: 35:[21, 29, 31, 7], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [21, 7, 2] Generated Node #2: [21, 7, 2] from Operation: 31-29=2 Current State: 35:[21, 7, 2], Operations: ['31-29=2'] Exploring Operation: 21*2=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 21*2=42 Current State: 35:[7, 42], Operations: ['31-29=2', '21*2=42'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 6, 50, 44 ]
43
[ "44+6=50", "50/50=1", "44-1=43" ]
Current State: 43:[44, 6, 50, 44], Operations: [] Exploring Operation: 44+6=50, Resulting Numbers: [50, 50] Generated Node #2: [50, 50] from Operation: 44+6=50 Current State: 43:[50, 50], Operations: ['44+6=50'] Exploring Operation: 50/50=1, Resulting Numbers: [1] 1,43 equal: Goal Reached Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 77, 22, 44 ]
40
[ "24*77=1848", "1848/22=84", "84-44=40" ]
Current State: 40:[24, 77, 22, 44], Operations: [] Exploring Operation: 24*77=1848, Resulting Numbers: [22, 44, 1848] Generated Node #2: [22, 44, 1848] from Operation: 24*77=1848 Current State: 40:[22, 44, 1848], Operations: ['24*77=1848'] Exploring Operation: 1848/22=84, Resulting Numbers: [44, 84] Generated Node #3: [44, 84] from Operation: 1848/22=84 Current State: 40:[44, 84], Operations: ['24*77=1848', '1848/22=84'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 17, 97, 41 ]
21
[ "97-17=80", "80/4=20", "41-20=21" ]
Current State: 21:[4, 17, 97, 41], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [4, 41, 80] Generated Node #2: [4, 41, 80] from Operation: 97-17=80 Current State: 21:[4, 41, 80], Operations: ['97-17=80'] Exploring Operation: 80/4=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 80/4=20 Current State: 21:[41, 20], Operations: ['97-17=80', '80/4=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 16, 15, 78, 3 ]
83
[ "16*78=1248", "1248-3=1245", "1245/15=83" ]
Current State: 83:[16, 15, 78, 3], Operations: [] Exploring Operation: 16*78=1248, Resulting Numbers: [15, 3, 1248] Generated Node #2: [15, 3, 1248] from Operation: 16*78=1248 Current State: 83:[15, 3, 1248], Operations: ['16*78=1248'] Exploring Operation: 1248-3=1245, Resulting Numbers: [15, 1245] Generated Node #3: [15, 1245] from Operation: 1248-3=1245 Current State: 83:[15, 1245], Operations: ['16*78=1248', '1248-3=1245'] Exploring Operation: 1245/15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 79, 36, 12, 12 ]
88
[ "79+12=91", "36/12=3", "91-3=88" ]
Current State: 88:[79, 36, 12, 12], Operations: [] Exploring Operation: 79+12=91, Resulting Numbers: [36, 91] Generated Node #2: [36, 91] from Operation: 79+12=91 Current State: 88:[36, 91], Operations: ['79+12=91'] Exploring Operation: 36/12=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 36/12=3 Current State: 88:[91, 3], Operations: ['79+12=91', '36/12=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 40, 32, 18, 16 ]
60
[ "40+18=58", "32/16=2", "58+2=60" ]
Current State: 60:[40, 32, 18, 16], Operations: [] Exploring Operation: 40+18=58, Resulting Numbers: [32, 16, 58] Generated Node #2: [32, 16, 58] from Operation: 40+18=58 Current State: 60:[32, 16, 58], Operations: ['40+18=58'] Exploring Operation: 32/16=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 32/16=2 Current State: 60:[58, 2], Operations: ['40+18=58', '32/16=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 22, 64, 83 ]
56
[ "93+83=176", "176/22=8", "64-8=56" ]
Current State: 56:[93, 22, 64, 83], Operations: [] Exploring Operation: 93+83=176, Resulting Numbers: [22, 64, 176] Generated Node #2: [22, 64, 176] from Operation: 93+83=176 Current State: 56:[22, 64, 176], Operations: ['93+83=176'] Exploring Operation: 176/22=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 176/22=8 Current State: 56:[64, 8], Operations: ['93+83=176', '176/22=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 21, 2, 16 ]
11
[ "53+2=55", "21-16=5", "55/5=11" ]
Current State: 11:[53, 21, 2, 16], Operations: [] Exploring Operation: 53+2=55, Resulting Numbers: [21, 16, 55] Generated Node #2: [21, 16, 55] from Operation: 53+2=55 Current State: 11:[21, 16, 55], Operations: ['53+2=55'] Exploring Operation: 21-16=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 21-16=5 Current State: 11:[55, 5], Operations: ['53+2=55', '21-16=5'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 35, 50, 90 ]
70
[ "35+90=125", "28*125=3500", "3500/50=70" ]
Current State: 70:[28, 35, 50, 90], Operations: [] Exploring Operation: 35+90=125, Resulting Numbers: [28, 50, 125] Generated Node #2: [28, 50, 125] from Operation: 35+90=125 Current State: 70:[28, 50, 125], Operations: ['35+90=125'] Exploring Operation: 28*125=3500, Resulting Numbers: [50, 3500] Generated Node #3: [50, 3500] from Operation: 28*125=3500 Current State: 70:[50, 3500], Operations: ['35+90=125', '28*125=3500'] Exploring Operation: 3500/50=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 47, 27, 63, 50 ]
61
[ "47+27=74", "63-50=13", "74-13=61" ]
Current State: 61:[47, 27, 63, 50], Operations: [] Exploring Operation: 47+27=74, Resulting Numbers: [63, 50, 74] Generated Node #2: [63, 50, 74] from Operation: 47+27=74 Current State: 61:[63, 50, 74], Operations: ['47+27=74'] Exploring Operation: 63-50=13, Resulting Numbers: [74, 13] Generated Node #3: [74, 13] from Operation: 63-50=13 Current State: 61:[74, 13], Operations: ['47+27=74', '63-50=13'] Exploring Operation: 74-13=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 61, 58, 16, 71 ]
52
[ "61-58=3", "71-16=55", "55-3=52" ]
Current State: 52:[61, 58, 16, 71], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [16, 71, 3] Generated Node #2: [16, 71, 3] from Operation: 61-58=3 Current State: 52:[16, 71, 3], Operations: ['61-58=3'] Exploring Operation: 71-16=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 71-16=55 Current State: 52:[3, 55], Operations: ['61-58=3', '71-16=55'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 23, 49, 75, 62 ]
46
[ "49+75=124", "23*124=2852", "2852/62=46" ]
Current State: 46:[23, 49, 75, 62], Operations: [] Exploring Operation: 49+75=124, Resulting Numbers: [23, 62, 124] Generated Node #2: [23, 62, 124] from Operation: 49+75=124 Current State: 46:[23, 62, 124], Operations: ['49+75=124'] Exploring Operation: 23*124=2852, Resulting Numbers: [62, 2852] Generated Node #3: [62, 2852] from Operation: 23*124=2852 Current State: 46:[62, 2852], Operations: ['49+75=124', '23*124=2852'] Exploring Operation: 2852/62=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 74, 20, 50, 4 ]
48
[ "74+20=94", "50-4=46", "94-46=48" ]
Current State: 48:[74, 20, 50, 4], Operations: [] Exploring Operation: 74+20=94, Resulting Numbers: [50, 4, 94] Generated Node #2: [50, 4, 94] from Operation: 74+20=94 Current State: 48:[50, 4, 94], Operations: ['74+20=94'] Exploring Operation: 50-4=46, Resulting Numbers: [94, 46] Generated Node #3: [94, 46] from Operation: 50-4=46 Current State: 48:[94, 46], Operations: ['74+20=94', '50-4=46'] Exploring Operation: 94-46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 1, 19, 6 ]
98
[ "6-1=5", "19*5=95", "3+95=98" ]
Current State: 98:[3, 1, 19, 6], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [3, 19, 5] Generated Node #2: [3, 19, 5] from Operation: 6-1=5 Current State: 98:[3, 19, 5], Operations: ['6-1=5'] Exploring Operation: 19*5=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 19*5=95 Current State: 98:[3, 95], Operations: ['6-1=5', '19*5=95'] Exploring Operation: 3+95=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 81, 10, 89, 7 ]
100
[ "81+89=170", "10*7=70", "170-70=100" ]
Current State: 100:[81, 10, 89, 7], Operations: [] Exploring Operation: 81+89=170, Resulting Numbers: [10, 7, 170] Generated Node #2: [10, 7, 170] from Operation: 81+89=170 Current State: 100:[10, 7, 170], Operations: ['81+89=170'] Exploring Operation: 10*7=70, Resulting Numbers: [170, 70] Generated Node #3: [170, 70] from Operation: 10*7=70 Current State: 100:[170, 70], Operations: ['81+89=170', '10*7=70'] Exploring Operation: 170-70=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 90, 7, 52 ]
69
[ "90/9=10", "7+52=59", "10+59=69" ]
Current State: 69:[9, 90, 7, 52], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [7, 52, 10] Generated Node #2: [7, 52, 10] from Operation: 90/9=10 Current State: 69:[7, 52, 10], Operations: ['90/9=10'] Exploring Operation: 7+52=59, Resulting Numbers: [10, 59] Generated Node #3: [10, 59] from Operation: 7+52=59 Current State: 69:[10, 59], Operations: ['90/9=10', '7+52=59'] Exploring Operation: 10+59=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 34, 5, 41, 32 ]
51
[ "34-32=2", "5*2=10", "41+10=51" ]
Current State: 51:[34, 5, 41, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [5, 41, 2] Generated Node #2: [5, 41, 2] from Operation: 34-32=2 Current State: 51:[5, 41, 2], Operations: ['34-32=2'] Exploring Operation: 5*2=10, Resulting Numbers: [41, 10] Generated Node #3: [41, 10] from Operation: 5*2=10 Current State: 51:[41, 10], Operations: ['34-32=2', '5*2=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 47, 80, 19, 11 ]
63
[ "80-47=33", "19+11=30", "33+30=63" ]
Current State: 63:[47, 80, 19, 11], Operations: [] Exploring Operation: 80-47=33, Resulting Numbers: [19, 11, 33] Generated Node #2: [19, 11, 33] from Operation: 80-47=33 Current State: 63:[19, 11, 33], Operations: ['80-47=33'] Exploring Operation: 19+11=30, Resulting Numbers: [33, 30] Generated Node #3: [33, 30] from Operation: 19+11=30 Current State: 63:[33, 30], Operations: ['80-47=33', '19+11=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 2, 38, 53 ]
31
[ "49-38=11", "2*11=22", "53-22=31" ]
Current State: 31:[49, 2, 38, 53], Operations: [] Exploring Operation: 49-38=11, Resulting Numbers: [2, 53, 11] Generated Node #2: [2, 53, 11] from Operation: 49-38=11 Current State: 31:[2, 53, 11], Operations: ['49-38=11'] Exploring Operation: 2*11=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 2*11=22 Current State: 31:[53, 22], Operations: ['49-38=11', '2*11=22'] Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 84, 77, 26, 31 ]
35
[ "84-77=7", "31-26=5", "7*5=35" ]
Current State: 35:[84, 77, 26, 31], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [26, 31, 7] Generated Node #2: [26, 31, 7] from Operation: 84-77=7 Current State: 35:[26, 31, 7], Operations: ['84-77=7'] Exploring Operation: 31-26=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 31-26=5 Current State: 35:[7, 5], Operations: ['84-77=7', '31-26=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 68, 1, 7 ]
65
[ "28/7=4", "68+1=69", "69-4=65" ]
Current State: 65:[28, 68, 1, 7], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [68, 1, 4] Generated Node #2: [68, 1, 4] from Operation: 28/7=4 Current State: 65:[68, 1, 4], Operations: ['28/7=4'] Exploring Operation: 68+1=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 68+1=69 Current State: 65:[4, 69], Operations: ['28/7=4', '68+1=69'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 33, 26, 29, 48 ]
49
[ "29-26=3", "48/3=16", "33+16=49" ]
Current State: 49:[33, 26, 29, 48], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [33, 48, 3] Generated Node #2: [33, 48, 3] from Operation: 29-26=3 Current State: 49:[33, 48, 3], Operations: ['29-26=3'] Exploring Operation: 48/3=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 48/3=16 Current State: 49:[33, 16], Operations: ['29-26=3', '48/3=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 61, 62, 56 ]
91
[ "24+61=85", "62-56=6", "85+6=91" ]
Current State: 91:[24, 61, 62, 56], Operations: [] Exploring Operation: 24+61=85, Resulting Numbers: [62, 56, 85] Generated Node #2: [62, 56, 85] from Operation: 24+61=85 Current State: 91:[62, 56, 85], Operations: ['24+61=85'] Exploring Operation: 62-56=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 62-56=6 Current State: 91:[85, 6], Operations: ['24+61=85', '62-56=6'] Exploring Operation: 85+6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 32, 8, 36 ]
12
[ "36/18=2", "32-8=24", "24/2=12" ]
Current State: 12:[18, 32, 8, 36], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [32, 8, 2] Generated Node #2: [32, 8, 2] from Operation: 36/18=2 Current State: 12:[32, 8, 2], Operations: ['36/18=2'] Exploring Operation: 32-8=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 32-8=24 Current State: 12:[2, 24], Operations: ['36/18=2', '32-8=24'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 78, 27, 20, 30 ]
18
[ "30-27=3", "20*3=60", "78-60=18" ]
Current State: 18:[78, 27, 20, 30], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [78, 20, 3] Generated Node #2: [78, 20, 3] from Operation: 30-27=3 Current State: 18:[78, 20, 3], Operations: ['30-27=3'] Exploring Operation: 20*3=60, Resulting Numbers: [78, 60] Generated Node #3: [78, 60] from Operation: 20*3=60 Current State: 18:[78, 60], Operations: ['30-27=3', '20*3=60'] Exploring Operation: 78-60=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 26, 13, 9 ]
17
[ "26-5=21", "13-9=4", "21-4=17" ]
Current State: 17:[5, 26, 13, 9], Operations: [] Exploring Operation: 26-5=21, Resulting Numbers: [13, 9, 21] Generated Node #2: [13, 9, 21] from Operation: 26-5=21 Current State: 17:[13, 9, 21], Operations: ['26-5=21'] Exploring Operation: 13-9=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 13-9=4 Current State: 17:[21, 4], Operations: ['26-5=21', '13-9=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 78, 48, 51 ]
73
[ "78*48=3744", "3744-21=3723", "3723/51=73" ]
Current State: 73:[21, 78, 48, 51], Operations: [] Exploring Operation: 78*48=3744, Resulting Numbers: [21, 51, 3744] Generated Node #2: [21, 51, 3744] from Operation: 78*48=3744 Current State: 73:[21, 51, 3744], Operations: ['78*48=3744'] Exploring Operation: 3744-21=3723, Resulting Numbers: [51, 3723] Generated Node #3: [51, 3723] from Operation: 3744-21=3723 Current State: 73:[51, 3723], Operations: ['78*48=3744', '3744-21=3723'] Exploring Operation: 3723/51=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 66, 33, 14 ]
52
[ "33-32=1", "66-14=52", "1*52=52" ]
Current State: 52:[32, 66, 33, 14], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [66, 14, 1] Generated Node #2: [66, 14, 1] from Operation: 33-32=1 Current State: 52:[66, 14, 1], Operations: ['33-32=1'] Exploring Operation: 66-14=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 66-14=52 Current State: 52:[1, 52], Operations: ['33-32=1', '66-14=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 27, 20, 7 ]
56
[ "57+27=84", "20*7=140", "140-84=56" ]
Current State: 56:[57, 27, 20, 7], Operations: [] Exploring Operation: 57+27=84, Resulting Numbers: [20, 7, 84] Generated Node #2: [20, 7, 84] from Operation: 57+27=84 Current State: 56:[20, 7, 84], Operations: ['57+27=84'] Exploring Operation: 20*7=140, Resulting Numbers: [84, 140] Generated Node #3: [84, 140] from Operation: 20*7=140 Current State: 56:[84, 140], Operations: ['57+27=84', '20*7=140'] Exploring Operation: 140-84=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 42, 65, 92 ]
31
[ "46-42=4", "92-65=27", "4+27=31" ]
Current State: 31:[46, 42, 65, 92], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [65, 92, 4] Generated Node #2: [65, 92, 4] from Operation: 46-42=4 Current State: 31:[65, 92, 4], Operations: ['46-42=4'] Exploring Operation: 92-65=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 92-65=27 Current State: 31:[4, 27], Operations: ['46-42=4', '92-65=27'] Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 96, 13, 60 ]
15
[ "96-44=52", "13*60=780", "780/52=15" ]
Current State: 15:[44, 96, 13, 60], Operations: [] Exploring Operation: 96-44=52, Resulting Numbers: [13, 60, 52] Generated Node #2: [13, 60, 52] from Operation: 96-44=52 Current State: 15:[13, 60, 52], Operations: ['96-44=52'] Exploring Operation: 13*60=780, Resulting Numbers: [52, 780] Generated Node #3: [52, 780] from Operation: 13*60=780 Current State: 15:[52, 780], Operations: ['96-44=52', '13*60=780'] Exploring Operation: 780/52=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 23, 69, 78 ]
43
[ "57-23=34", "78-69=9", "34+9=43" ]
Current State: 43:[57, 23, 69, 78], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [69, 78, 34] Generated Node #2: [69, 78, 34] from Operation: 57-23=34 Current State: 43:[69, 78, 34], Operations: ['57-23=34'] Exploring Operation: 78-69=9, Resulting Numbers: [34, 9] Generated Node #3: [34, 9] from Operation: 78-69=9 Current State: 43:[34, 9], Operations: ['57-23=34', '78-69=9'] Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 73, 66, 60 ]
10
[ "73-69=4", "66-60=6", "4+6=10" ]
Current State: 10:[69, 73, 66, 60], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [66, 60, 4] Generated Node #2: [66, 60, 4] from Operation: 73-69=4 Current State: 10:[66, 60, 4], Operations: ['73-69=4'] Exploring Operation: 66-60=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 66-60=6 Current State: 10:[4, 6], Operations: ['73-69=4', '66-60=6'] Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 63, 2, 74, 76 ]
50
[ "76-63=13", "74/2=37", "13+37=50" ]
Current State: 50:[63, 2, 74, 76], Operations: [] Exploring Operation: 76-63=13, Resulting Numbers: [2, 74, 13] Generated Node #2: [2, 74, 13] from Operation: 76-63=13 Current State: 50:[2, 74, 13], Operations: ['76-63=13'] Exploring Operation: 74/2=37, Resulting Numbers: [13, 37] Generated Node #3: [13, 37] from Operation: 74/2=37 Current State: 50:[13, 37], Operations: ['76-63=13', '74/2=37'] Exploring Operation: 13+37=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 66, 63, 39, 61 ]
56
[ "66-63=3", "39*3=117", "117-61=56" ]
Current State: 56:[66, 63, 39, 61], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [39, 61, 3] Generated Node #2: [39, 61, 3] from Operation: 66-63=3 Current State: 56:[39, 61, 3], Operations: ['66-63=3'] Exploring Operation: 39*3=117, Resulting Numbers: [61, 117] Generated Node #3: [61, 117] from Operation: 39*3=117 Current State: 56:[61, 117], Operations: ['66-63=3', '39*3=117'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 72, 36, 88 ]
18
[ "90-88=2", "72-36=36", "36/2=18" ]
Current State: 18:[90, 72, 36, 88], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [72, 36, 2] Generated Node #2: [72, 36, 2] from Operation: 90-88=2 Current State: 18:[72, 36, 2], Operations: ['90-88=2'] Exploring Operation: 72-36=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 72-36=36 Current State: 18:[2, 36], Operations: ['90-88=2', '72-36=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 18, 12, 84 ]
74
[ "18/9=2", "84-12=72", "2+72=74" ]
Current State: 74:[9, 18, 12, 84], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [12, 84, 2] Generated Node #2: [12, 84, 2] from Operation: 18/9=2 Current State: 74:[12, 84, 2], Operations: ['18/9=2'] Exploring Operation: 84-12=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 84-12=72 Current State: 74:[2, 72], Operations: ['18/9=2', '84-12=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 75, 68, 13 ]
62
[ "75-68=7", "13*7=91", "91-29=62" ]
Current State: 62:[29, 75, 68, 13], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [29, 13, 7] Generated Node #2: [29, 13, 7] from Operation: 75-68=7 Current State: 62:[29, 13, 7], Operations: ['75-68=7'] Exploring Operation: 13*7=91, Resulting Numbers: [29, 91] Generated Node #3: [29, 91] from Operation: 13*7=91 Current State: 62:[29, 91], Operations: ['75-68=7', '13*7=91'] Exploring Operation: 91-29=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 78, 98, 51, 90 ]
19
[ "98-78=20", "90-51=39", "39-20=19" ]
Current State: 19:[78, 98, 51, 90], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [51, 90, 20] Generated Node #2: [51, 90, 20] from Operation: 98-78=20 Current State: 19:[51, 90, 20], Operations: ['98-78=20'] Exploring Operation: 90-51=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 90-51=39 Current State: 19:[20, 39], Operations: ['98-78=20', '90-51=39'] Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 33, 70, 40 ]
21
[ "33-24=9", "70-40=30", "30-9=21" ]
Current State: 21:[24, 33, 70, 40], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [70, 40, 9] Generated Node #2: [70, 40, 9] from Operation: 33-24=9 Current State: 21:[70, 40, 9], Operations: ['33-24=9'] Exploring Operation: 70-40=30, Resulting Numbers: [9, 30] Generated Node #3: [9, 30] from Operation: 70-40=30 Current State: 21:[9, 30], Operations: ['33-24=9', '70-40=30'] Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 46, 89, 44 ]
95
[ "46-44=2", "12/2=6", "89+6=95" ]
Current State: 95:[12, 46, 89, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [12, 89, 2] Generated Node #2: [12, 89, 2] from Operation: 46-44=2 Current State: 95:[12, 89, 2], Operations: ['46-44=2'] Exploring Operation: 12/2=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 12/2=6 Current State: 95:[89, 6], Operations: ['46-44=2', '12/2=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 38, 2, 99, 9 ]
29
[ "38+2=40", "99/9=11", "40-11=29" ]
Current State: 29:[38, 2, 99, 9], Operations: [] Exploring Operation: 38+2=40, Resulting Numbers: [99, 9, 40] Generated Node #2: [99, 9, 40] from Operation: 38+2=40 Current State: 29:[99, 9, 40], Operations: ['38+2=40'] Exploring Operation: 99/9=11, Resulting Numbers: [40, 11] Generated Node #3: [40, 11] from Operation: 99/9=11 Current State: 29:[40, 11], Operations: ['38+2=40', '99/9=11'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 48, 69, 38 ]
37
[ "48-42=6", "69-38=31", "6+31=37" ]
Current State: 37:[42, 48, 69, 38], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [69, 38, 6] Generated Node #2: [69, 38, 6] from Operation: 48-42=6 Current State: 37:[69, 38, 6], Operations: ['48-42=6'] Exploring Operation: 69-38=31, Resulting Numbers: [6, 31] Generated Node #3: [6, 31] from Operation: 69-38=31 Current State: 37:[6, 31], Operations: ['48-42=6', '69-38=31'] Exploring Operation: 6+31=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 15, 35, 40 ]
20
[ "44*15=660", "40+660=700", "700/35=20" ]
Current State: 20:[44, 15, 35, 40], Operations: [] Exploring Operation: 44*15=660, Resulting Numbers: [35, 40, 660] Generated Node #2: [35, 40, 660] from Operation: 44*15=660 Current State: 20:[35, 40, 660], Operations: ['44*15=660'] Exploring Operation: 40+660=700, Resulting Numbers: [35, 700] Generated Node #3: [35, 700] from Operation: 40+660=700 Current State: 20:[35, 700], Operations: ['44*15=660', '40+660=700'] Exploring Operation: 700/35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 89, 33, 1, 19 ]
36
[ "89-33=56", "1+19=20", "56-20=36" ]
Current State: 36:[89, 33, 1, 19], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [1, 19, 56] Generated Node #2: [1, 19, 56] from Operation: 89-33=56 Current State: 36:[1, 19, 56], Operations: ['89-33=56'] Exploring Operation: 1+19=20, Resulting Numbers: [56, 20] Generated Node #3: [56, 20] from Operation: 1+19=20 Current State: 36:[56, 20], Operations: ['89-33=56', '1+19=20'] Exploring Operation: 56-20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 71, 56, 99, 17 ]
11
[ "71+56=127", "99+17=116", "127-116=11" ]
Current State: 11:[71, 56, 99, 17], Operations: [] Exploring Operation: 71+56=127, Resulting Numbers: [99, 17, 127] Generated Node #2: [99, 17, 127] from Operation: 71+56=127 Current State: 11:[99, 17, 127], Operations: ['71+56=127'] Exploring Operation: 99+17=116, Resulting Numbers: [127, 116] Generated Node #3: [127, 116] from Operation: 99+17=116 Current State: 11:[127, 116], Operations: ['71+56=127', '99+17=116'] Exploring Operation: 127-116=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 10, 93, 81 ]
12
[ "10-9=1", "93-81=12", "1*12=12" ]
Current State: 12:[9, 10, 93, 81], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [93, 81, 1] Generated Node #2: [93, 81, 1] from Operation: 10-9=1 Current State: 12:[93, 81, 1], Operations: ['10-9=1'] Exploring Operation: 93-81=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 93-81=12 Current State: 12:[1, 12], Operations: ['10-9=1', '93-81=12'] Exploring Operation: 1*12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 14, 48, 76, 36 ]
34
[ "76-48=28", "28/14=2", "36-2=34" ]
Current State: 34:[14, 48, 76, 36], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [14, 36, 28] Generated Node #2: [14, 36, 28] from Operation: 76-48=28 Current State: 34:[14, 36, 28], Operations: ['76-48=28'] Exploring Operation: 28/14=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 28/14=2 Current State: 34:[36, 2], Operations: ['76-48=28', '28/14=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 61, 22, 53, 61 ]
74
[ "61/61=1", "22+53=75", "75-1=74" ]
Current State: 74:[61, 22, 53, 61], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [22, 53, 1] Generated Node #2: [22, 53, 1] from Operation: 61/61=1 Current State: 74:[22, 53, 1], Operations: ['61/61=1'] Exploring Operation: 22+53=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 22+53=75 Current State: 74:[1, 75], Operations: ['61/61=1', '22+53=75'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 48, 40, 65 ]
56
[ "13*40=520", "520/65=8", "48+8=56" ]
Current State: 56:[13, 48, 40, 65], Operations: [] Exploring Operation: 13*40=520, Resulting Numbers: [48, 65, 520] Generated Node #2: [48, 65, 520] from Operation: 13*40=520 Current State: 56:[48, 65, 520], Operations: ['13*40=520'] Exploring Operation: 520/65=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 520/65=8 Current State: 56:[48, 8], Operations: ['13*40=520', '520/65=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 56, 6, 25, 21 ]
19
[ "56-6=50", "50/25=2", "21-2=19" ]
Current State: 19:[56, 6, 25, 21], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [25, 21, 50] Generated Node #2: [25, 21, 50] from Operation: 56-6=50 Current State: 19:[25, 21, 50], Operations: ['56-6=50'] Exploring Operation: 50/25=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 50/25=2 Current State: 19:[21, 2], Operations: ['56-6=50', '50/25=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 74, 24, 93, 95 ]
52
[ "74-24=50", "95-93=2", "50+2=52" ]
Current State: 52:[74, 24, 93, 95], Operations: [] Exploring Operation: 74-24=50, Resulting Numbers: [93, 95, 50] Generated Node #2: [93, 95, 50] from Operation: 74-24=50 Current State: 52:[93, 95, 50], Operations: ['74-24=50'] Exploring Operation: 95-93=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 95-93=2 Current State: 52:[50, 2], Operations: ['74-24=50', '95-93=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 32, 42, 43, 85 ]
31
[ "42+43=85", "85/85=1", "32-1=31" ]
Current State: 31:[32, 42, 43, 85], Operations: [] Exploring Operation: 42+43=85, Resulting Numbers: [32, 85, 85] Generated Node #2: [32, 85, 85] from Operation: 42+43=85 Current State: 31:[32, 85, 85], Operations: ['42+43=85'] Exploring Operation: 85/85=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 85/85=1 Current State: 31:[32, 1], Operations: ['42+43=85', '85/85=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 64, 37, 2, 2 ]
89
[ "64*2=128", "37+2=39", "128-39=89" ]
Current State: 89:[64, 37, 2, 2], Operations: [] Exploring Operation: 64*2=128, Resulting Numbers: [37, 128] Generated Node #2: [37, 128] from Operation: 64*2=128 Current State: 89:[37, 128], Operations: ['64*2=128'] Exploring Operation: 37+2=39, Resulting Numbers: [128, 39] Generated Node #3: [128, 39] from Operation: 37+2=39 Current State: 89:[128, 39], Operations: ['64*2=128', '37+2=39'] Exploring Operation: 128-39=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 15, 33, 3, 81 ]
43
[ "15+33=48", "81+48=129", "129/3=43" ]
Current State: 43:[15, 33, 3, 81], Operations: [] Exploring Operation: 15+33=48, Resulting Numbers: [3, 81, 48] Generated Node #2: [3, 81, 48] from Operation: 15+33=48 Current State: 43:[3, 81, 48], Operations: ['15+33=48'] Exploring Operation: 81+48=129, Resulting Numbers: [3, 129] Generated Node #3: [3, 129] from Operation: 81+48=129 Current State: 43:[3, 129], Operations: ['15+33=48', '81+48=129'] Exploring Operation: 129/3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 9, 49, 3 ]
64
[ "2*9=18", "49-3=46", "18+46=64" ]
Current State: 64:[2, 9, 49, 3], Operations: [] Exploring Operation: 2*9=18, Resulting Numbers: [49, 3, 18] Generated Node #2: [49, 3, 18] from Operation: 2*9=18 Current State: 64:[49, 3, 18], Operations: ['2*9=18'] Exploring Operation: 49-3=46, Resulting Numbers: [18, 46] Generated Node #3: [18, 46] from Operation: 49-3=46 Current State: 64:[18, 46], Operations: ['2*9=18', '49-3=46'] Exploring Operation: 18+46=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 74, 21, 80 ]
15
[ "80-74=6", "6*6=36", "36-21=15" ]
Current State: 15:[6, 74, 21, 80], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [6, 21, 6] Generated Node #2: [6, 21, 6] from Operation: 80-74=6 Current State: 15:[6, 21, 6], Operations: ['80-74=6'] Exploring Operation: 6*6=36, Resulting Numbers: [21, 36] Generated Node #3: [21, 36] from Operation: 6*6=36 Current State: 15:[21, 36], Operations: ['80-74=6', '6*6=36'] Exploring Operation: 36-21=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 84, 81, 48 ]
82
[ "84-81=3", "48*3=144", "144-62=82" ]
Current State: 82:[62, 84, 81, 48], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [62, 48, 3] Generated Node #2: [62, 48, 3] from Operation: 84-81=3 Current State: 82:[62, 48, 3], Operations: ['84-81=3'] Exploring Operation: 48*3=144, Resulting Numbers: [62, 144] Generated Node #3: [62, 144] from Operation: 48*3=144 Current State: 82:[62, 144], Operations: ['84-81=3', '48*3=144'] Exploring Operation: 144-62=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 10, 71, 80 ]
30
[ "82-71=11", "10*11=110", "110-80=30" ]
Current State: 30:[82, 10, 71, 80], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [10, 80, 11] Generated Node #2: [10, 80, 11] from Operation: 82-71=11 Current State: 30:[10, 80, 11], Operations: ['82-71=11'] Exploring Operation: 10*11=110, Resulting Numbers: [80, 110] Generated Node #3: [80, 110] from Operation: 10*11=110 Current State: 30:[80, 110], Operations: ['82-71=11', '10*11=110'] Exploring Operation: 110-80=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 64, 48, 60, 3 ]
100
[ "48+60=108", "108/3=36", "64+36=100" ]
Current State: 100:[64, 48, 60, 3], Operations: [] Exploring Operation: 48+60=108, Resulting Numbers: [64, 3, 108] Generated Node #2: [64, 3, 108] from Operation: 48+60=108 Current State: 100:[64, 3, 108], Operations: ['48+60=108'] Exploring Operation: 108/3=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 108/3=36 Current State: 100:[64, 36], Operations: ['48+60=108', '108/3=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 8, 54, 15 ]
12
[ "65-8=57", "54+15=69", "69-57=12" ]
Current State: 12:[65, 8, 54, 15], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [54, 15, 57] Generated Node #2: [54, 15, 57] from Operation: 65-8=57 Current State: 12:[54, 15, 57], Operations: ['65-8=57'] Exploring Operation: 54+15=69, Resulting Numbers: [57, 69] Generated Node #3: [57, 69] from Operation: 54+15=69 Current State: 12:[57, 69], Operations: ['65-8=57', '54+15=69'] Exploring Operation: 69-57=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 63, 22, 3 ]
72
[ "39/3=13", "63+22=85", "85-13=72" ]
Current State: 72:[39, 63, 22, 3], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [63, 22, 13] Generated Node #2: [63, 22, 13] from Operation: 39/3=13 Current State: 72:[63, 22, 13], Operations: ['39/3=13'] Exploring Operation: 63+22=85, Resulting Numbers: [13, 85] Generated Node #3: [13, 85] from Operation: 63+22=85 Current State: 72:[13, 85], Operations: ['39/3=13', '63+22=85'] Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 28, 64, 58 ]
99
[ "77+28=105", "64-58=6", "105-6=99" ]
Current State: 99:[77, 28, 64, 58], Operations: [] Exploring Operation: 77+28=105, Resulting Numbers: [64, 58, 105] Generated Node #2: [64, 58, 105] from Operation: 77+28=105 Current State: 99:[64, 58, 105], Operations: ['77+28=105'] Exploring Operation: 64-58=6, Resulting Numbers: [105, 6] Generated Node #3: [105, 6] from Operation: 64-58=6 Current State: 99:[105, 6], Operations: ['77+28=105', '64-58=6'] Exploring Operation: 105-6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 41, 31, 1 ]
27
[ "98-41=57", "31-1=30", "57-30=27" ]
Current State: 27:[98, 41, 31, 1], Operations: [] Exploring Operation: 98-41=57, Resulting Numbers: [31, 1, 57] Generated Node #2: [31, 1, 57] from Operation: 98-41=57 Current State: 27:[31, 1, 57], Operations: ['98-41=57'] Exploring Operation: 31-1=30, Resulting Numbers: [57, 30] Generated Node #3: [57, 30] from Operation: 31-1=30 Current State: 27:[57, 30], Operations: ['98-41=57', '31-1=30'] Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 48, 32, 44 ]
15
[ "51-48=3", "44-32=12", "3+12=15" ]
Current State: 15:[51, 48, 32, 44], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [32, 44, 3] Generated Node #2: [32, 44, 3] from Operation: 51-48=3 Current State: 15:[32, 44, 3], Operations: ['51-48=3'] Exploring Operation: 44-32=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 44-32=12 Current State: 15:[3, 12], Operations: ['51-48=3', '44-32=12'] Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 9, 48, 18 ]
31
[ "77-48=29", "18/9=2", "29+2=31" ]
Current State: 31:[77, 9, 48, 18], Operations: [] Exploring Operation: 77-48=29, Resulting Numbers: [9, 18, 29] Generated Node #2: [9, 18, 29] from Operation: 77-48=29 Current State: 31:[9, 18, 29], Operations: ['77-48=29'] Exploring Operation: 18/9=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 18/9=2 Current State: 31:[29, 2], Operations: ['77-48=29', '18/9=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 26, 7, 91 ]
22
[ "26*7=182", "182/91=2", "24-2=22" ]
Current State: 22:[24, 26, 7, 91], Operations: [] Exploring Operation: 26*7=182, Resulting Numbers: [24, 91, 182] Generated Node #2: [24, 91, 182] from Operation: 26*7=182 Current State: 22:[24, 91, 182], Operations: ['26*7=182'] Exploring Operation: 182/91=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 182/91=2 Current State: 22:[24, 2], Operations: ['26*7=182', '182/91=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 54, 64, 10 ]
51
[ "64-54=10", "10*10=100", "100-49=51" ]
Current State: 51:[49, 54, 64, 10], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [49, 10, 10] Generated Node #2: [49, 10, 10] from Operation: 64-54=10 Current State: 51:[49, 10, 10], Operations: ['64-54=10'] Exploring Operation: 10*10=100, Resulting Numbers: [49, 100] Generated Node #3: [49, 100] from Operation: 10*10=100 Current State: 51:[49, 100], Operations: ['64-54=10', '10*10=100'] Exploring Operation: 100-49=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 82, 93, 1 ]
63
[ "73+82=155", "93-1=92", "155-92=63" ]
Current State: 63:[73, 82, 93, 1], Operations: [] Exploring Operation: 73+82=155, Resulting Numbers: [93, 1, 155] Generated Node #2: [93, 1, 155] from Operation: 73+82=155 Current State: 63:[93, 1, 155], Operations: ['73+82=155'] Exploring Operation: 93-1=92, Resulting Numbers: [155, 92] Generated Node #3: [155, 92] from Operation: 93-1=92 Current State: 63:[155, 92], Operations: ['73+82=155', '93-1=92'] Exploring Operation: 155-92=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 35, 45, 70, 9 ]
71
[ "45-35=10", "70-9=61", "10+61=71" ]
Current State: 71:[35, 45, 70, 9], Operations: [] Exploring Operation: 45-35=10, Resulting Numbers: [70, 9, 10] Generated Node #2: [70, 9, 10] from Operation: 45-35=10 Current State: 71:[70, 9, 10], Operations: ['45-35=10'] Exploring Operation: 70-9=61, Resulting Numbers: [10, 61] Generated Node #3: [10, 61] from Operation: 70-9=61 Current State: 71:[10, 61], Operations: ['45-35=10', '70-9=61'] Exploring Operation: 10+61=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 50, 46, 51, 53 ]
15
[ "53-50=3", "51-46=5", "3*5=15" ]
Current State: 15:[50, 46, 51, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [46, 51, 3] Generated Node #2: [46, 51, 3] from Operation: 53-50=3 Current State: 15:[46, 51, 3], Operations: ['53-50=3'] Exploring Operation: 51-46=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 51-46=5 Current State: 15:[3, 5], Operations: ['53-50=3', '51-46=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 7, 79, 18 ]
84
[ "83+7=90", "90/18=5", "79+5=84" ]
Current State: 84:[83, 7, 79, 18], Operations: [] Exploring Operation: 83+7=90, Resulting Numbers: [79, 18, 90] Generated Node #2: [79, 18, 90] from Operation: 83+7=90 Current State: 84:[79, 18, 90], Operations: ['83+7=90'] Exploring Operation: 90/18=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 90/18=5 Current State: 84:[79, 5], Operations: ['83+7=90', '90/18=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 48, 9, 1 ]
92
[ "52+48=100", "9-1=8", "100-8=92" ]
Current State: 92:[52, 48, 9, 1], Operations: [] Exploring Operation: 52+48=100, Resulting Numbers: [9, 1, 100] Generated Node #2: [9, 1, 100] from Operation: 52+48=100 Current State: 92:[9, 1, 100], Operations: ['52+48=100'] Exploring Operation: 9-1=8, Resulting Numbers: [100, 8] Generated Node #3: [100, 8] from Operation: 9-1=8 Current State: 92:[100, 8], Operations: ['52+48=100', '9-1=8'] Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 36, 2, 36, 60 ]
57
[ "36/36=1", "60-2=58", "58-1=57" ]
Current State: 57:[36, 2, 36, 60], Operations: [] Exploring Operation: 36/36=1, Resulting Numbers: [2, 60, 1] Generated Node #2: [2, 60, 1] from Operation: 36/36=1 Current State: 57:[2, 60, 1], Operations: ['36/36=1'] Exploring Operation: 60-2=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 60-2=58 Current State: 57:[1, 58], Operations: ['36/36=1', '60-2=58'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 40, 55, 8, 2 ]
79
[ "40+55=95", "8*2=16", "95-16=79" ]
Current State: 79:[40, 55, 8, 2], Operations: [] Exploring Operation: 40+55=95, Resulting Numbers: [8, 2, 95] Generated Node #2: [8, 2, 95] from Operation: 40+55=95 Current State: 79:[8, 2, 95], Operations: ['40+55=95'] Exploring Operation: 8*2=16, Resulting Numbers: [95, 16] Generated Node #3: [95, 16] from Operation: 8*2=16 Current State: 79:[95, 16], Operations: ['40+55=95', '8*2=16'] Exploring Operation: 95-16=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 9, 47, 8 ]
92
[ "28+9=37", "47+8=55", "37+55=92" ]
Current State: 92:[28, 9, 47, 8], Operations: [] Exploring Operation: 28+9=37, Resulting Numbers: [47, 8, 37] Generated Node #2: [47, 8, 37] from Operation: 28+9=37 Current State: 92:[47, 8, 37], Operations: ['28+9=37'] Exploring Operation: 47+8=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 47+8=55 Current State: 92:[37, 55], Operations: ['28+9=37', '47+8=55'] Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 6, 53, 14 ]
74
[ "42/6=7", "53+14=67", "7+67=74" ]
Current State: 74:[42, 6, 53, 14], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [53, 14, 7] Generated Node #2: [53, 14, 7] from Operation: 42/6=7 Current State: 74:[53, 14, 7], Operations: ['42/6=7'] Exploring Operation: 53+14=67, Resulting Numbers: [7, 67] Generated Node #3: [7, 67] from Operation: 53+14=67 Current State: 74:[7, 67], Operations: ['42/6=7', '53+14=67'] Exploring Operation: 7+67=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 46, 24, 7 ]
98
[ "69+46=115", "24-7=17", "115-17=98" ]
Current State: 98:[69, 46, 24, 7], Operations: [] Exploring Operation: 69+46=115, Resulting Numbers: [24, 7, 115] Generated Node #2: [24, 7, 115] from Operation: 69+46=115 Current State: 98:[24, 7, 115], Operations: ['69+46=115'] Exploring Operation: 24-7=17, Resulting Numbers: [115, 17] Generated Node #3: [115, 17] from Operation: 24-7=17 Current State: 98:[115, 17], Operations: ['69+46=115', '24-7=17'] Exploring Operation: 115-17=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 24, 23, 17, 82 ]
99
[ "24-23=1", "17+82=99", "1*99=99" ]
Current State: 99:[24, 23, 17, 82], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [17, 82, 1] Generated Node #2: [17, 82, 1] from Operation: 24-23=1 Current State: 99:[17, 82, 1], Operations: ['24-23=1'] Exploring Operation: 17+82=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 17+82=99 Current State: 99:[1, 99], Operations: ['24-23=1', '17+82=99'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 95, 58, 72, 21 ]
60
[ "95+58=153", "72+21=93", "153-93=60" ]
Current State: 60:[95, 58, 72, 21], Operations: [] Exploring Operation: 95+58=153, Resulting Numbers: [72, 21, 153] Generated Node #2: [72, 21, 153] from Operation: 95+58=153 Current State: 60:[72, 21, 153], Operations: ['95+58=153'] Exploring Operation: 72+21=93, Resulting Numbers: [153, 93] Generated Node #3: [153, 93] from Operation: 72+21=93 Current State: 60:[153, 93], Operations: ['95+58=153', '72+21=93'] Exploring Operation: 153-93=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 3, 75, 59, 97 ]
39
[ "97-59=38", "3*38=114", "114-75=39" ]
Current State: 39:[3, 75, 59, 97], Operations: [] Exploring Operation: 97-59=38, Resulting Numbers: [3, 75, 38] Generated Node #2: [3, 75, 38] from Operation: 97-59=38 Current State: 39:[3, 75, 38], Operations: ['97-59=38'] Exploring Operation: 3*38=114, Resulting Numbers: [75, 114] Generated Node #3: [75, 114] from Operation: 3*38=114 Current State: 39:[75, 114], Operations: ['97-59=38', '3*38=114'] Exploring Operation: 114-75=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 87, 14, 94 ]
26
[ "47+87=134", "14+94=108", "134-108=26" ]
Current State: 26:[47, 87, 14, 94], Operations: [] Exploring Operation: 47+87=134, Resulting Numbers: [14, 94, 134] Generated Node #2: [14, 94, 134] from Operation: 47+87=134 Current State: 26:[14, 94, 134], Operations: ['47+87=134'] Exploring Operation: 14+94=108, Resulting Numbers: [134, 108] Generated Node #3: [134, 108] from Operation: 14+94=108 Current State: 26:[134, 108], Operations: ['47+87=134', '14+94=108'] Exploring Operation: 134-108=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 97, 48, 84, 27 ]
62
[ "97-48=49", "84+27=111", "111-49=62" ]
Current State: 62:[97, 48, 84, 27], Operations: [] Exploring Operation: 97-48=49, Resulting Numbers: [84, 27, 49] Generated Node #2: [84, 27, 49] from Operation: 97-48=49 Current State: 62:[84, 27, 49], Operations: ['97-48=49'] Exploring Operation: 84+27=111, Resulting Numbers: [49, 111] Generated Node #3: [49, 111] from Operation: 84+27=111 Current State: 62:[49, 111], Operations: ['97-48=49', '84+27=111'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 11, 71, 2 ]
68
[ "12-11=1", "71-2=69", "69-1=68" ]
Current State: 68:[12, 11, 71, 2], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [71, 2, 1] Generated Node #2: [71, 2, 1] from Operation: 12-11=1 Current State: 68:[71, 2, 1], Operations: ['12-11=1'] Exploring Operation: 71-2=69, Resulting Numbers: [1, 69] Generated Node #3: [1, 69] from Operation: 71-2=69 Current State: 68:[1, 69], Operations: ['12-11=1', '71-2=69'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 7, 22, 92 ]
46
[ "22-8=14", "7*92=644", "644/14=46" ]
Current State: 46:[8, 7, 22, 92], Operations: [] Exploring Operation: 22-8=14, Resulting Numbers: [7, 92, 14] Generated Node #2: [7, 92, 14] from Operation: 22-8=14 Current State: 46:[7, 92, 14], Operations: ['22-8=14'] Exploring Operation: 7*92=644, Resulting Numbers: [14, 644] Generated Node #3: [14, 644] from Operation: 7*92=644 Current State: 46:[14, 644], Operations: ['22-8=14', '7*92=644'] Exploring Operation: 644/14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 7, 96, 30 ]
35
[ "24+7=31", "96-30=66", "66-31=35" ]
Current State: 35:[24, 7, 96, 30], Operations: [] Exploring Operation: 24+7=31, Resulting Numbers: [96, 30, 31] Generated Node #2: [96, 30, 31] from Operation: 24+7=31 Current State: 35:[96, 30, 31], Operations: ['24+7=31'] Exploring Operation: 96-30=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 96-30=66 Current State: 35:[31, 66], Operations: ['24+7=31', '96-30=66'] Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 33, 35, 40 ]
25
[ "33*40=1320", "1320/22=60", "60-35=25" ]
Current State: 25:[22, 33, 35, 40], Operations: [] Exploring Operation: 33*40=1320, Resulting Numbers: [22, 35, 1320] Generated Node #2: [22, 35, 1320] from Operation: 33*40=1320 Current State: 25:[22, 35, 1320], Operations: ['33*40=1320'] Exploring Operation: 1320/22=60, Resulting Numbers: [35, 60] Generated Node #3: [35, 60] from Operation: 1320/22=60 Current State: 25:[35, 60], Operations: ['33*40=1320', '1320/22=60'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 68, 65, 75, 66 ]
53
[ "68-65=3", "66/3=22", "75-22=53" ]
Current State: 53:[68, 65, 75, 66], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [75, 66, 3] Generated Node #2: [75, 66, 3] from Operation: 68-65=3 Current State: 53:[75, 66, 3], Operations: ['68-65=3'] Exploring Operation: 66/3=22, Resulting Numbers: [75, 22] Generated Node #3: [75, 22] from Operation: 66/3=22 Current State: 53:[75, 22], Operations: ['68-65=3', '66/3=22'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 50, 83, 42, 66 ]
34
[ "42*66=2772", "50+2772=2822", "2822/83=34" ]
Current State: 34:[50, 83, 42, 66], Operations: [] Exploring Operation: 42*66=2772, Resulting Numbers: [50, 83, 2772] Generated Node #2: [50, 83, 2772] from Operation: 42*66=2772 Current State: 34:[50, 83, 2772], Operations: ['42*66=2772'] Exploring Operation: 50+2772=2822, Resulting Numbers: [83, 2822] Generated Node #3: [83, 2822] from Operation: 50+2772=2822 Current State: 34:[83, 2822], Operations: ['42*66=2772', '50+2772=2822'] Exploring Operation: 2822/83=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4